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48657 = 372331
BaseRepresentation
bin1011111000010001
32110202010
423320101
53024112
61013133
7261600
oct137021
973663
1048657
1133614
12241a9
13191bb
1413a37
15e63c
hexbe11

48657 has 12 divisors (see below), whose sum is σ = 75696. Its totient is φ = 27720.

The previous prime is 48649. The next prime is 48661. The reversal of 48657 is 75684.

It is a happy number.

48657 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48657 - 23 = 48649 is a prime.

48657 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (48647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19 + ... + 312.

It is an arithmetic number, because the mean of its divisors is an integer number (6308).

248657 is an apocalyptic number.

It is an amenable number.

48657 is a deficient number, since it is larger than the sum of its proper divisors (27039).

48657 is a wasteful number, since it uses less digits than its factorization.

48657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 341 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 48657 is about 220.5833175922. The cubic root of 48657 is about 36.5074732930.

The spelling of 48657 in words is "forty-eight thousand, six hundred fifty-seven".

Divisors: 1 3 7 21 49 147 331 993 2317 6951 16219 48657